Question 1 _ _ _ _ Write the repeating decimal numbers 3,142 and 2.746 as improper fractions. [5] Question 2 2.1 A father is four times as old as his daughter. In 6 years he will be three times as old as she is then. How old is the daughter now? (6) 2.2 The distance between two towns Pretoria and Krugersdorp, is approximately 75 km. Mazibuko cycles from Pretoria to Krugersdorp whereas Binder cycles from Krugersdorp to Pretoria. They start cycling towards each other at the same time. Mazibuko cycles twice as fast as Binder does. If they meet 2 hours later, at what average speed is each cyclist traveling? (8) 3.3 The area covered by water weed on a dam increases exponentially according to the formula A = Ace\"T, where A is the area, in square meters, covered by weed after (days and k E R is a constant parameter. The initial area Ag of water weed is 400m2. After 5 days the area is 200m2. (a) Determine the value of k. Leave your answer in terms of in. (4) (b) Use the formula above, and the value of k in terms of In, to determine the area covered by water weed after 2 months. (5) [23] Question 3 Suppose the functions f, g, h and l are dened as follows: f(x) = 4x25x+1 X g(x) = 21l2Ex h(x) = %x + 3 !(x) = log, (x + 3) log4 (x 2). 2'! 3.1 Write down D; and solve the inequality f(X) > 0. (6) 3.2 Write down 09, 0;, and 094. (5) 3.3 Solve the inequality 9(X) 64. 3.5 Write down D,- and solve the inequality HX) > %